Questions
The resultant of two vectors of magnitudes 3 units and 4 units is 1 unit. What is the value of their dot product?
a
–12 units
b
–7 units
c
–1 unit
d
Zero
detailed solution
Correct option is A
Let θ be the angle between the two vectors. The resultant is given by R2=A2+B2+2ABcosθ Putting the values of R, A and B we get(1)2=(3)2+(4)2+2×3×4×cosθ Or cosθ=−1 or θ=1800 Now A.B=ABcosθ=3×4×cos1800=−12 Hence the correct choice is (a).Talk to our academic expert!
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Unit vector parallel to the resultant of vectors and will be
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